LUND UNIVERSITY LIBRARIES

Linear Quadratic Performance Criteria for Cascade Control

Gattami, AtherLU and
Rantzer, AndersLU
(2005)
44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
In Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05p.3632-3637

In this paper we consider the problem of linear quadratic regulator (LQR) performance for cascade control structures of series coupled systems. The necessary and sufficient condition for the linear quadratic performance of a cascade control structure to achieve the same performance as any given centralized LQR is obtained. The cascade problem could be seen as a special case of the network control problem with a special network structure. The results presented show that decentralized control is possible with some natural fundamental limitations in this particular case. Also, a constructive proof is given for the inverse LQR problem that can be used to calculate the decentralized LQR from a given centralized one.

@misc{55f97ecb-41d4-4354-9f72-385f7f1f3f43,
abstract = {In this paper we consider the problem of linear quadratic regulator (LQR) performance for cascade control structures of series coupled systems. The necessary and sufficient condition for the linear quadratic performance of a cascade control structure to achieve the same performance as any given centralized LQR is obtained. The cascade problem could be seen as a special case of the network control problem with a special network structure. The results presented show that decentralized control is possible with some natural fundamental limitations in this particular case. Also, a constructive proof is given for the inverse LQR problem that can be used to calculate the decentralized LQR from a given centralized one.},
author = {Gattami, Ather and Rantzer, Anders},
isbn = {0-7803-9567-0},
language = {eng},
pages = {3632--3637},
publisher = {ARRAY(0xabc0780)},
series = {Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05},
title = {Linear Quadratic Performance Criteria for Cascade Control},
url = {http://dx.doi.org/10.1109/CDC.2005.1582726},
year = {2005},
}